The present work developed numerical codes that simulate steady-state grinding process kinematics. The three-dimensional modeling procedure entails the following: specifying the sizes, shapes, and positions of individual abrasive grains on the wheel surface; geometrically calculating the abrasive grains’ depth of cut distributions along the grinding zone as they pass through the grinding zone (neglecting wheel, abrasive grain, and workpiece deflections); using an empirical relationship to relate the abrasive grains’ geometric depths of cut to the grains’ actual depths of cut; and updating the workpiece surface to account for material removal. The resulting data include the abrasive grains’ average depth of cut distribution along the grinding zone, stock removal depth, stock removal rate, grinding zone shape, grinding zone length, percentage of grains impacting the workpiece, grain-workpiece impact frequency, etc. The calculated grinding zone lengths compare favorably with experimental data. This article examines a number of steady-state grinding processes. [S1087-1357(00)00101-5]

1.
Backer
,
W. R.
,
Marshall
,
E. R.
, and
Shaw
,
M. C.
,
1952
, “
The Size Effect In Metal Cutting
,”
Trans. ASME
,
74
, pp.
61
72
.
2.
Backer
,
W. R.
, and
Merchant
,
M. E.
,
1958
, “
On the Basic Mechanics Of The Grinding Process
,”
Trans. ASME
,
80
, pp.
141
148
.
3.
Saini
,
D. P.
,
1990
, “
Wheel Hardness and Local Elastic Deflections in Grinding
,”
Int. J. Mach. Tools Manuf.
,
30
, pp.
637
649
.
4.
Shaw, M. C., 1984, “Grinding Temperatures,” Proceedings of the 12th NAMRC, pp. 304–308.
5.
Gal-Tzur
,
Z.
,
Shpitalni
,
M.
, and
Malkin
,
S.
,
1989
, “
Design and Manufacturing Analyses for Integrated CAD/CAM of Cams
,”
ASME J. Eng. Ind.
,
111
, pp.
307
314
.
6.
Law, S. S., 1972, “Grinding Process Model-Building and Analysis,” Ph.D. Dissertation, University of Wisconsin.
7.
Law
,
S. S.
, and
Wu
,
S. M.
,
1973
, “
Simulation Study of the Grinding Process
,”
J. Eng. Ind.
,
95
, pp.
972
978
.
8.
Law
,
S. S.
,
Wu
,
S. M.
, and
Joglekar
,
A. M.
,
1973
, “
On Building Models for the Grinding Process
,”
J. Eng. Ind.
,
95
, pp.
983
991
.
9.
Konig
,
W.
, and
Steffens
,
K.
,
1982
, “
A Numerical Method to Describe the Kinematics of Grinding
,”
CIRP Ann.
,
31
, pp.
201
204
.
10.
Domala
,
K.-V.
,
Salisbury
,
E. J.
,
Moon
,
K. S.
, and
Sutherland
,
J. W.
,
1995
, “
A Three-Dimensional Geometric Model for the Surface Texture Generated by a Single Pass of the Wheel in a Surface Grinding Process
,”
ASME Manuf. Sci. Eng.
,
1
, pp.
363
375
.
11.
Konig
,
W.
, and
Lortz
,
W.
,
1976
, “
Properties of Cutting Edges Related to Chip Formation in Grinding
,”
CIRP Ann.
,
25
, p.
197
197
.
12.
Shah
,
G. N.
,
Bell
,
A. C.
, and
Malkin
,
S.
,
1977
, “
Quantitative Characterization of Abrasive Surface Using a New Profile Measuring System
,”
Wear
,
41
, pp.
315
325
.
13.
Kumar, 1995, private communication with author, GE Superabrasives.
14.
Chen
,
X.
, and
Rowe
,
W. B.
,
1996
, “
Analysis and Simulation of the Grinding Process Part I: Generation of the Grinding Wheel Surface
,”
Int. J. Mach. Tools Manuf.
,
36
, pp.
871
882
.
15.
Chen
,
X.
, and
Rowe
,
W. B.
,
1996
, “
Analysis and Simulation of the Grinding Process. Part II: Mechanics of Grinding
,”
Int. J. Mach. Tools Manuf.
,
36
, pp.
883
896
.
16.
Chen
,
X.
, and
Rowe
,
W. B.
,
1996
, “
Analysis and Simulation of the Grinding Process. Part III: Comparison with Experiment
,”
Int. J. Mach. Tools Manuf.
,
36
, pp.
897
906
.
17.
Rowe
,
W. B.
,
Morgan
,
M. N.
,
Qi
,
H. S.
, and
Zheng
,
H. W.
,
1993
, “
The Effect of Deformation on the Contact Area in Grinding
,”
CIRP Ann.
,
42
, pp.
409
412
.
18.
Gu
,
D. Y.
, and
Wager
,
J. G.
,
1988
, “
New Evidence on the Contact Zone in Grinding—Contact Length, Sliding and Cutting Regions
,”
CIRP Ann.
,
37
, pp.
335
338
.
19.
Peklenik, J., 1957, “Ermittlung von Geometrischen und Physikalischen Kenngrossen fur die Grundlagenforschung des Schleifens,” Ph.D. Dissertation, T. H. Aachen.
20.
Brown
,
R.
,
Saito
,
H.
, and
Shaw
,
M. C.
,
1971
, “
Local Elastic Deflections in Grinding
,”
CIRP Ann.
,
20
, p.
105
105
.
21.
Hahn
,
R. S.
, and
Lindsay
,
R. P.
,
1967
, “
On the Effect of Real Area of Contact and Normal Stress in Grinding
,”
CIRP Ann.
,
15
, p.
197
197
.
22.
Makino
,
H.
,
Suto
,
T.
, and
Fukushima
,
E.
,
1966
, “
An Experimental Investigation of the Grinding Process
,”
Journal of Mechanical Laboratory of Japan
,
12
, pp.
17
25
.
23.
Sauer, W. J., and Shaw, M. C., 1974, “The Role of Elastic Deflections of the Wheel-Work Interface in Surface Grinding,” Proceedings of the International Conference on Production Engineering, Tokyo, pp. 645–649.
24.
Snoeys, R., and Chih-Wang, I., 1986, “Analysis of the Static and Dynamic Stiffness of the Grinding Wheel Surface,” Paper presented at the 9th International Machine Tool Design and Research Conference, Manchester, U.K., p. 1133.
25.
Zhang
,
L. C.
,
Suto
,
T.
,
Noguchi
,
H.
, and
Waida
,
T.
,
1993
, “
Applied Mechanics In Grinding—III A New Formula for Contact Length Prediction and a Comparison of Available Models
,”
Int. J. Mach. Tools Manuf.
,
33
, pp.
587
597
.
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